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Finding the Fourth Proportional to 460.66, 635.68 and 264.14

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Solution

The fourth proportional to 460.66, 635.68 and 264.14 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.66 : 635.68 = 264.14 : x
  2. Step 2: Convert to fraction form
    460.66/635.68 = 264.14/x
  3. Step 3: Cross multiply
    460.66x = 635.68 × 264.14
  4. Step 4: Simplify right side
    460.66x = 167,904.02
  5. Step 5: Solve for x
    x = 167,904.02/460.66
  6. Step 6: Final answer
    x = 364.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.